The result in this paper was included in L1-computability, layerwise computability and Solovay reducibility
Mar 12, 2012, Draft
Weak L^1-computability and Limit L^1-computability
The class of the differences between two integral tests for Schnorr ran- domness is an important class related to Schnorr randomness. In this paper we study other randomness versions. We also claim that Solovay reducibility for lower semicomputable functions generalizes layerwise com- putability.